Pith Number

pith:BTVRXR67

pith:2017:BTVRXR67LZGOITPG5LXCTXDASJ

not attested not anchored not stored refs pending

Three-body problem in $d$-dimensional space: ground state, (quasi)-exact-solvability

Alexander V Turbiner, Jr., M.A. Escobar-Ruiz, Willard Miller

arxiv:1707.01324 v2 · 2017-07-05 · math-ph · math.MP · nlin.SI · quant-ph

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{BTVRXR67LZGOITPG5LXCTXDASJ}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T00:22:20.902610Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

0ceb1bc7df5e4ce44de6eaee29dc609248814fcfb3bfa5ca509f8bb470d1414e

Aliases

arxiv: 1707.01324 · arxiv_version: 1707.01324v2 · doi: 10.48550/arxiv.1707.01324 · pith_short_12: BTVRXR67LZGO · pith_short_16: BTVRXR67LZGOITPG · pith_short_8: BTVRXR67

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/BTVRXR67LZGOITPG5LXCTXDASJ \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 0ceb1bc7df5e4ce44de6eaee29dc609248814fcfb3bfa5ca509f8bb470d1414e

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "7026eccf2e36469e27c305c05d7be4c21a929a5f463c32167328f683ef87a25b",
    "cross_cats_sorted": [
      "math.MP",
      "nlin.SI",
      "quant-ph"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math-ph",
    "submitted_at": "2017-07-05T11:19:52Z",
    "title_canon_sha256": "3c98e5cbd31af35dabe6a1669effa78f7019397ef85886dc2743ca4171f302bc"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1707.01324",
    "kind": "arxiv",
    "version": 2
  }
}